Alternate way: 2nd picture Show 1+3+5+...+(2n-1)=n^2

Growing patterns #2

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1st/3parts: Checkpoint 1.1 STPM Math T Sem2

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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2nd way: integral ∫ log √x(x^n) dx

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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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2nd/2ways: r-Permutations

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2 ways: diff eq Solve dy/dx-x^2=0

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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2nd way: integral ∫1/(a + √√b (x^2)) dx

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2nd/2ways: count perm Show P(n,n)=P(n,n-1)

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1st/10 parts: Logical disjunction

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Find the number of different 8 letter arrangements that can be made from the letters of the word ..

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prob stat: Show if y=ax+b where a & b are constants then ȳ = ax̄ + b

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1st/3parts: Mean of 1,2,3,...,n SAME as Mean 1,n

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3 ways: trig integral ∫sin([118]) cos([118]) d[118]

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2 ways: integral ∫(x^3+2x)/(x-1) dx

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3 ways: trig integral ∫sec^2(x) tan(x) dx

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